Q. 175.0( 3 Votes )

Prove that the po

Answer :

Length of Side AB is given by-






= 2√5 units


Length of Side BC is given by-




=√(64+16)


=√80


= 4√5 units


Length of Side CD is given by-




=√(4+16)


=√20


= 2√5 units


Length of Side DA is given by-




=√(64+16)


=√80


= 4√5 units


Also,


Length of Diagonal AC is given by-



=√(36+64)


=√100


= 10 units


Length of Diagonal BD is given by-


=√100


= 10 units


Clearly,


Opposite sides AB = CD = 2√5 units


Opposite sides BC = AD = 4√5 units


Diag. AC = BD = 10 units


Thus, Opposite sides are equal and diagonals are also equal.


Hence, ABCD is a rectangle


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